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Finding the Fourth Proportional to 775.65, 1,163.43 and 653.70

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Solution

The fourth proportional to 775.65, 1,163.43 and 653.70 is: 980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.65 : 1,163.43 = 653.70 : x
  2. Step 2: Convert to fraction form
    775.65/1,163.43 = 653.70/x
  3. Step 3: Cross multiply
    775.65x = 1,163.43 × 653.70
  4. Step 4: Simplify right side
    775.65x = 760,534.19
  5. Step 5: Solve for x
    x = 760,534.19/775.65
  6. Step 6: Final answer
    x = 980.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.